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Title:
Multipatch methods in general relativistic astrophysics: Hydrodynamical flows on fixed backgrounds
Authors:
Zink, Burkhard; Schnetter, Erik; Tiglio, Manuel
Affiliation:
AA(Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA; Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA), AB(Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA; Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA), AC(Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA; Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA; Department of Physics, University of Maryland, College Park Maryland 20742, USA; Center for Scientific Computation and Mathematical Modeling, University of Maryland, College Park Maryland 20742, USA)
Publication:
Physical Review D, vol. 77, Issue 10, id. 103015 (PhRvD Homepage)
Publication Date:
05/2008
Origin:
APS
PACS Keywords:
Hydrodynamics, Finite volume methods
DOI:
10.1103/PhysRevD.77.103015
Bibliographic Code:
2008PhRvD..77j3015Z

Abstract

Many systems of interest in general relativistic astrophysics, including neutron stars, accreting compact objects in x-ray binaries and active galactic nuclei, core collapse, and collapsars, are assumed to be approximately spherically symmetric or axisymmetric. In Newtonian or fixed-background relativistic approximations it is common practice to use spherical polar coordinates for computational grids; however, these coordinates have singularities and are difficult to use in fully relativistic models. We present, in this series of papers, a numerical technique which is able to use effectively spherical grids by employing multiple patches. We provide detailed instructions on how to implement such a scheme, and present a number of code tests for the fixed-background case, including an accretion torus around a black hole.
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